Question

Give an example of two irrationlal number whose
$= a) \: sum \: is \: rational \\ \: \: \: \: \: b) \: product \: is \: rational \\ \: \: \: \: \: c) \: quotient \: is \: rational$

Answer 1

Hey Mate ✌

Here's your answer,

Example of two rational number whose

a) Sum is rational : 10 + 3√2 and 5 - 3√2

Let's check 10 + 3√2 + 5 -3√2

==> 15 which is rational.

b) Product is rational : 5 + 2√3 and 5 - 2√3

==> (5 + 2√3)(5 - 2√3) = (5)² - (2√3)²

==> 25 - 12

==> 13 which is rational

c) Quotient is rational : 3√3 and 3√3

==> 3√3 / 3√3 = 1 which is rational.

⭐ Hope it helps you : ) ⭐

Answer 2

a)(2+ root 3)+(2- root 3)=4 sum is rational
b)(2+ root 3)(2- root 3)=1 product is rational
c)root 2/ root 2=1 quotient is rational
Hope it helps
#aditya